To represent the situation mathematically, we need to identify what the variables represent in the equation:
- Let \( y \) be the total cost of the trip to the grocery store to buy doughnuts.
- Let \( x \) be the number of doughnuts purchased.
Given that the round trip taxi ride costs $7.00 and each doughnut costs $0.50, you can deduce the total cost as follows:
- The fixed cost for the taxi ride is $7.00.
- The variable cost for doughnuts is $0.50 multiplied by the number of doughnuts purchased (\( x \)).
Thus, the total cost \( y \) can be expressed as:
\[ y = 7.00 + 0.50x \]
This equation signifies that the total cost consists of the fixed taxi fare plus the cost of the doughnuts purchased.
So, the correct representation from your provided options is:
\( y = 7.00 + 0.50x \)